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Finding the Third Proportional to 739,387,856 and 1,602,069,072

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Solution

The third proportional to 739,387,856 and 1,602,069,072 is: 3,471,284,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,387,856 : 1,602,069,072 = 1,602,069,072 : x
  2. Step 2: Convert to fraction form
    739,387,856/1,602,069,072 = 1,602,069,072/x
  3. Step 3: Cross multiply
    739,387,856x = 1,602,069,072 × 1,602,069,072
  4. Step 4: Simplify right side
    739,387,856x = 2,566,625,311,458,940,928
  5. Step 5: Solve for x
    x = 2,566,625,311,458,940,928/739,387,856
  6. Step 6: Final answer
    x = 3,471,284,104.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.